Assume that an electric field `vecE=30x^2hatj` exists in space. Then the potential difference `V_A-V_O`, where `V_O` is the potential at the origin and `V_A` the potential at `x=2m` is:

Answer

80

Explanation

As we know, potential difference `V_A - V_O` is
`dV = - Edx`
`int_(v_0)^(v_A)dV=-int_0^(2)30x^2 dx`
`V_A-V_O=-30 xx[x^3/3]_0^2`
`=-10 xx[2^3 - (0)^3]`
`-10 xx8 = - 80 J`